Assumptions:  a) Simple Random Sample         b) n(p)(1-p) ≥ 10

Step 1: Set up null and alternative hypotheses.

H0: p =

H1: p ≠



Step 2: Determine level of significance of hypothesis test.

α =     (Note: α = level of significance of hypothesis test   = probability of making Type I error.)

Step 3: Calculate Test Statistic.

p̂ = sample proportion =          (Note: p̂ = x/n)

n = sample size =

Calculate Test Statistic z:
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       (Note: Value of p comes from Step 1)




Step 4: Find Critical Values (-zα/2, zα/2)

-zα/2 is the z-score corresponding to the left-tail area.

zα/2 is the z-score corresponding to the right-tail area.






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Alternative p-value Method



Link: hypothesis testing using p-value method